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3 years ago

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Which are the roots of the quadratic function f(b) = b2 – 75? Check all that apply.Which are the roots of the quadratic function

f(b) = b2 – 75?

2 answers:

Eduardwww [97]3 years ago

6 0

Answer:

the ANSWER IS A) AND B) ON EDGE I JUST TOOK THE TEST

Step-by-step explanation:

HOPE THIS HELPED

Salsk061 [2.6K]3 years ago

5 0

For this case, what we must do is equal the function to zero:
b ^ 2 - 75 = 0
From here, we clear the value of b. We have then:
b = + / - root (75)
We rewrite:
b = + / - root (3 * 25)
b = + / - 5 * root (3)
So, the roots are:
b1 = 5 * root (3)
b2 = -5 * root (3)
Answer:
The roots of the quadratic function are:
b1 = 5 * root (3)
b2 = -5 * root (3)

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Step-by-step explanation:

The formula to find the radius of a sphere is $4(pi)r^{2}$

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Michelin Tire Company wishes to set a minimum mileage guarantee on its new MX100 tire. Tests reveal the mean mileage is 67,900 w

Keith_Richards [23]

Answer:

The minimum guaranteed mileage is $x = 71489.55$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 67900$

The standard deviation is $\sigma = 2050$

Generally for the probability to be 4% the minimum guaranteed mileage is evaluated as

$P( X \ge x ) =1- P( \frac{X - \mu }{\sigma } < \frac{ x - 67900 }{ 2050} ) = 0.04$

$\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )$

$P( X \ge x ) =1- P( Z$

=> $P( X \ge x ) = P( Z$

=> $z = \frac{ x - 67900 }{ 2050}$

From the z table, the critical value corresponding to 0.96 to the left of the curve is

$z = 1.751$

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$1.751 = \frac{ x - 67900 }{ 2050}$

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3 years ago

Identify the vertical asymptotes of f(x)=10/x^2-1

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Answer:

-1 and 1

Step-by-step explanation:

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2 years ago

Place the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of

victus00 [196]

Answer:

g(x), f(x) and h(x)

Step-by-step explanation:

Given

Interval: (0,3)

See attachment for functions f(x), g(x) and h(x)

Required

Order from fastest to slowest decreasing average rate of change

The average rate of change is calculated as:

$Rate = \frac{f(b) - f(a)}{b - a}$

In this case:

$(a,b) = (0,3)$

i.e.

$a = 0\\b=3$

For f(x)

$f(x) = 16(\frac{1}{2})^x$

$Rate = \frac{f(b) - f(a)}{b - a}$

$Rate = \frac{f(3) - f(0)}{3 - 0}$

$Rate = \frac{f(3) - f(0)}{3}$

Calculate f(3) and f(0)

$f(x) = 16(\frac{1}{2})^x$

$f(3) = 16(\frac{1}{2})^3 = 16 * \frac{1}{8} = 2$

$f(0) = 16(\frac{1}{2})^0 = 16 * 1 = 16$

So:

$Rate = \frac{f(3) - f(0)}{3}$

$Rate = \frac{2 - 16}{3}$

$Rate = -\frac{14}{3}$

For g(x)

$Rate = \frac{g(b) - g(a)}{b - a}$

$Rate = \frac{g(3) - g(0)}{3 - 0}$

$Rate = \frac{g(3) - g(0)}{3}$

From the table of g(x)

$g(3) = 1$

$g(1) = 27$

So:

$Rate = \frac{1 - 27}{3}$

$Rate = -\frac{26}{3}$

For h(x)

$Rate = \frac{h(b) - h(a)}{b - a}$

$Rate = \frac{h(3) - h(0)}{3 - 0}$

$Rate = \frac{h(3) - h(0)}{3}$

From the graph of h(x)

$h(3) = -3$

$h(0) = 4$

So:

$Rate = \frac{-3 - 4}{3}$

$Rate = -\frac{7}{3}$

So, the calculated rates of change are:

$f(x) = -\frac{14}{3}$ $= -4.67$

$g(x) = -\frac{26}{3}$ $=-8.67$

$h(x) = -\frac{7}{3}$ $=-2.33$

By comparison:

From the fastest decreasing to slowest, the order is: <em>g(x), f(x) and h(x)</em>

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